LET O ,1 O BE THE CENTERS OF CIRCLES 2 C ,1 C IN A PLANE...

1.

Let

O ,

1

O be the centers of circles

2

C ,

1

C in a plane respectively, and the circles

2

meet at two distinct points A , B . Line

O A meets the circle

1

C at point

1

P , and line

1

O A meets the circle

2

C at point

2

P . Determine the maximum number of points

2

lying in a circle among these 6 points A, B,

O ,

1

O ,

2

P and

1

P .

2

Answer:_________________________.